Let's investigate a slight variation of the problem we discussed last week. Now suppose that the constraints associated with our problem remain the same. That is, suppose that Ryan Arts manufactures two types of picture frames--let's call them typeX and typeY. Each typeX frame requires 2 hours of labor and 1 unit of material to make, and each typeY frame requires 1 hour of labor and 2 units of material to make. During the upcoming week the company has 4000 hours of labor and 5000 units of material available. However, now suppose that the profit margins for the two types of frames are changed. Let's assume that the profit margin for typeX frames is still $2.00 per frame, but instead of the profit margin for the typeY frames being $3.00, suppose that it increases to $6.00 per typeY frame. In this case, what is the optimal mix of frames that Ryan should produce, and what is the profit associated with this mix?